عنوان

An introductory guide to computational methods for the solution of physics problems :

شابک

3319427032

شابک

3319427040

شابک

9783319427034

شابک

9783319427041

شابک اشتباه

3319427024

شابک اشتباه

9783319427027

عنوان اصلي

An introductory guide to computational methods for the solution of physics problems :

نام عام مواد

[Book]

ساير اطلاعات عنواني

with emphasis on spectral methods /

نام نخستين پديدآور

George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto.

محل نشرو پخش و غیره

Cham :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource (xviii, 221 pages) :

ساير جزييات

illustrations (some color)

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Numerical errors -- Finite difference methods -- Galerkin and collocation methods -- Convergence of spectral approximations -- Chebyshev polynomials as basis functions -- The integral equation corresponding to a differential equation -- Spectral finite element method -- The phase-amplitude representation of a wave function -- The vibrating string -- Iteratively calculated eigenvalues -- Sturmian functions -- Solutions of a third-order differential equation -- Conclusions -- Appendix A: The MATLAB codes for 'wave' -- Appendix B: MATLAB codes for the derivative matrix.

بدون عنوان

0

متن يادداشت

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solution of integral equations. The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319427034

عنوان

Introductory guide to computational methods for the solution of physics problems.

شماره استاندارد بين المللي کتاب و موسيقي

3319427024

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Nuclear physics.

موضوع مستند نشده

SCIENCE-- Energy.

موضوع مستند نشده

SCIENCE-- Mechanics-- General.

موضوع مستند نشده

SCIENCE-- Physics-- General.

موضوع مستند نشده

Semi-conductors & super-conductors.

موضوع مستند نشده

Spectrum analysis, spectrochemistry, mass spectrometry.

موضوع مستند نشده

PHU

موضوع مستند نشده

PHU

موضوع مستند نشده

SCI-- 024000

موضوع مستند نشده

SCI-- 041000

موضوع مستند نشده

SCI-- 055000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Rawitscher, George

مستند نام اشخاص تاييد نشده

Peixoto, Thiago Carvalho

مستند نام اشخاص تاييد نشده

Santos Filho, Victo dos

تاريخ عمليات

20200823101601.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y